#include <iostream>
#include <algorithm>
#include <cstring>
#include <string>
#include <map>
#include <unordered_map>
#include <vector>
#include <set>
#include <queue>

using namespace std;
using LL = long long;
using PII = pair<int, int>;


int main(){
#ifdef LOCALFLAG
    freopen("in.txt", "r", stdin);
    freopen("out.txt", "w", stdout);
#endif


    ios::sync_with_stdio(false);
    cin.tie(nullptr);



    return 0;
}